Derivatives, integrals, limits, series, and calculus calculators.
Most used tools
Find the derivative of a polynomial function at a point.
Compute the definite integral of a polynomial over an interval.
Find the limit of a polynomial as x approaches a value.
Find partial derivatives of a two-variable polynomial.
Compute the exact area under a polynomial curve.
Find volume of revolution using the disk method.
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Find the derivative of a polynomial function at a point.
Compute the definite integral of a polynomial over an interval.
Find the limit of a polynomial as x approaches a value.
Differentiate composite functions using the chain rule.
Differentiate products of two functions using the product rule.
Differentiate ratios of two functions using the quotient rule.
Find partial derivatives of a two-variable polynomial.
Find the second derivative of a polynomial function.
Find critical points where f'(x) = 0 for a polynomial.
Find inflection points where concavity changes.
Find the tangent line equation at a point on a curve.
Find the normal line equation perpendicular to the tangent.
Compute the exact area under a polynomial curve.
Approximate integrals using left, right, or midpoint Riemann sums.
Approximate integrals using the trapezoidal rule.
Approximate integrals using Simpson's 1/3 rule with parabolic arcs.
Find c where f'(c) = [f(b)-f(a)]/(b-a) using the MVT.
Find global max/min of a polynomial on an interval.
Compute unknown rates from known related rates.
Compute work done by a variable force using integration.
Find the arc length of a curve over an interval.
Find surface area of a curve revolved around an axis.
Find volume of revolution using the disk method.
Find volume of revolution between two curves using washers.
Expand a polynomial into a Taylor series about a point.
Expand common functions into Maclaurin series at a = 0.
Evaluate indeterminate form limits using L'Hôpital's rule.
Evaluate improper integrals for convergence and value.
Test series convergence with multiple convergence tests.
Solve first-order ODEs with initial conditions numerically.
More math tools available
Our calculus calculators provide accurate, instant results for students, teachers, and professionals. Each calculator uses mathematically verified formulas and handles edge cases like invalid inputs, division by zero, and overflow conditions.
Whether you need to solve equations, compute integrals, find prime factors, or convert between number bases, our calculus tools deliver reliable results with step-by-step explanations to help you understand the underlying mathematics.
